Pith Number

pith:FTU25NL7

pith:2016:FTU25NL7Z4PAGYRVXACBIZJ7NP

not attested not anchored not stored refs pending

Monoid actions and ultrafilter methods in Ramsey theory

S{\l}awomir Solecki

arxiv:1611.06600 v4 · 2016-11-20 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTU25NL7Z4PAGYRVXACBIZJ7NP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:01:02.048540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce9aeb57fcf1e036235b80414653f6bf932ee9ccee97383ce24784bd2bace01

Aliases

arxiv: 1611.06600 · arxiv_version: 1611.06600v4 · doi: 10.48550/arxiv.1611.06600 · pith_short_12: FTU25NL7Z4PA · pith_short_16: FTU25NL7Z4PAGYRV · pith_short_8: FTU25NL7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FTU25NL7Z4PAGYRVXACBIZJ7NP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2ce9aeb57fcf1e036235b80414653f6bf932ee9ccee97383ce24784bd2bace01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40178acfe4a4e558bda88a400c62b20d3ff172a62cfc9b2b9b4e06237aa2e044",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-20T21:54:09Z",
    "title_canon_sha256": "4591e4723f30d59721787a7878e4dd4a0bcd30637cd27c7f6978770b69ae27ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06600",
    "kind": "arxiv",
    "version": 4
  }
}